on Quaternions And Octionions

Dmitri Mendeleyev's discovery, in March 1869, of a periodic law which governs the behaviour of absolutely all chemical elements was given a hostile reception by some scientists.

Data compression is mandatory to manage massive datasets, indexing is fundamental to query them. However, their goals appear as counterposed: the former aims at minimizing data redundancies, whereas the latter augments the dataset with auxiliary information to speed up the query resolution. In this monograph we introduce solutions that overcome this dichotomy.